Separation of Motion QM Separation Vibration Rotation 4
Separation of Motion QM
Separation Vibration Rotation
= (4 /3ħc) n e m 2 (Nm-Nn) ( o- ) 1 2 3 1. Square of the transition moment 2. Frequency of the light 3. Population difference 4 n e m 2 ( Nm - N n) 4. Resonance factor - Dirac delta function (0) = 1
Fermi’s Golden Rule = (4 /3ħc) n e m 2 (Nm-Nn) ( o- ) 1 Dipole Moment Matrix Elements
Fermi’s Golden Rule = (4 /3ħc) n e m 2 (Nm-Nn) ( o- ) 1
- + r μ = q. r Dipole Moments
CO 2 Vibrations
n m Einstein Coefficients
= (4 /3ħc) n e m 2 (Nm-Nn) ( o- ) 1 2 3 1. Square of the transition moment 2. Frequency of the light 3. Population difference 4 n e m 2 ( Nm - N n) 4. Resonance factor - Dirac delta function (0) = 1
●-----● Frequency
Problem 3 Devise a simple experiment using fairly everyday things to estimate the frequency of a light source …or alternatively devise an experiment to determine the wavelength and assume c = 30000 kms-1
= (4 /3ħc) n e m 2 (Nm-Nn) ( o- ) 1 2 3 1. Square of the transition moment 2. Frequency of the light 3. Population difference 4 n e m 2 ( Nm - N n) 4. Resonance factor - Dirac delta function (0) = 1
http: //en. wiki pedia. org/wik i/Boltzmann_ constant Boltzmann
n m Nm = No e -∆E/k. T where ∆E = Em – Eo o
n m Nm = No e -∆E/k. T where ∆E = Em – Eo o
Maser
= (4 /3ħc) n e m 2 (Nm-Nn) ( o- ) 1 2 3 1. Square of the transition moment 2. Frequency of the light 3. Population difference 4 n e m 2 ( Nm - N n) 4. Resonance factor - Dirac delta function (0) = 1
Dirac delta function δ(0) 1. Infinitely high 2. Infinitely narrow 3. Area = unity
Resonance commons. wikimedia. org
Millennium Bridge
Tacoma
ABC Rotation of a Diatomic Molecule
- Slides: 23